We have to calculate the difference of the given polynomials, we follows as:
After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.
=
Combining all the like terms, we get as
=
=
Option A is the correct answer.
Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)
Step-by-step explanation:
Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.
For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,
a, a+d, a+3d, a+4d...
Notice that each new term keep increasing by a common difference 'd'
The nth term of the sequence Tn will therefore give Tn = a+(n-1)d
If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;
Tn = 14+(n-1)-4 (which gives the required answer)
Tn = 14-4n+4
Tn = 18-4n
Answer:
Step-by-step explanation:
First calculate for the area of the trapezoid (the formula is (base + base / 2) x height):
60 cm + 90 cm = 150 cm
150 cm / 2 = 75 cm
75 cm x 30 cm = 2250 cm²
Now 1 cm² = 1 mL and 1000 mL = 1 L
2250 cm² = 2250 mL
2250 mL = 2.25 L
Answer:
(B) 18.
Step-by-step explanation:
We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).
First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.
We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.
Therefore, the perimeter of the given quadrilateral is 18 units.
1 peso = 0.053 dollars.
x pesos = 400 US dollars.
1/x = 0.053 / 400 Cross multiply
400 * 1 = 0.053 x Divide by 0.053
400/0.053 = 0.053*x / 0.053
7547.17 pesos which rounded is
Answer: 7547 pesos
